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pounds wherewith it is charged, not only to its first estate A E B, but will also become convex, and its elevation in ye middle shall be above ye point E as much as ye point M was before below; this is known because we shall see ye white mark H elevated, and pass a little heigher than ye rule I L whereby one may measure ye difference.  But if ye pipe is yet heigher ye of ye weights shall be yet greater: whence may be judged that ye little water wch is in ye pipe hath as much force to elevate that ye great weight and render ye end of vessel convex, as if ye pipe was of ye same largeness as ye vessel: this effect will be proved by ye same reasons as above concerning ye water of ye small branch C D, wch elevates ye water of ye branch B A, when it is but to E, althô it should weigh 1000 times more: for ye swiftness wch ye small pipe F E will take in descending, shall be to that of ye bottom A D with its weight in elevating, as ye surface of ye vessel is to ye surface of ye pipe; that is to say that if ye pipe is an inch diameter and ye vessel 30, ye surface of head peice of ye cask shall be 900 times grater than that of ye height of ye water, ye pipe therefore if ye water of ye pipe descends one foot, that wc toucheth ye upper part shall be elevated but ye 1/900 of a foot; and by consequence if ye water of ye pipe weighs one pound, it shall make an equilibrium with 900 pounds, therefore it shall elevate ye 800 pounds wch are upon ye vessel with ye little water wch will pass to ye top of A E B; but we must suppose that ye top is elevated altogether at ye same time for ye fitness of calculation and reasoning.

When in a syphon one of ye two branches is inclined, and ye other perpendicular [[strikethrough]] is in [[/strikethrough]] being both near of ye same bigness, ye water will be there also level; for [[strikethrough]] that [[/strikethrough]] Let ye syphon A B C be placed so that ye branch A B may be perpendicular, and that C B may be in an inclined plain, it is manifest that ye weight of ye water, wch shall be in D B, shall be to ye weight in E B as ye  of D B so ye quantity of E B: but E B is an horizontal line, ye whole force of ye water E B to descend shall be to that wch it would have had fallen perpendicular as ye length E B is to ye length D B: therefore it shall make an equilibrium with ye water [[strikethrough]]?[[/strikethrough]] D B whose direction is perpendicular according to ye universal principall: for ye spaces passed in ye same time by ye water of ye two branches according to their naturall direction towards ye centre of ye earth, will be in a reciprocal reason to that of their weights, that is to say of E B to D B, and by consequence ye water E B shall not touch ye water B D, ye greater ruling in ye long branch may make some difference, and give somewhat more trouble to move ye water by ye inclined plain E B, althô one or other of ye branches should be longer, it will not hinder ye equilibrium for ye same reasons which have been said above.

[[image: Drawing of a "V" shaped pipe with the right arm vertical and the left arm at an angle to the left.  Left arm labeled C, bottom of the "V" labeled B, top of right arm labeled "A."  There is a dotted line from C to A, and another dotted line from point E on C B to D on A B.]]

Transcription Notes:
mandc: transcriber transcribed capital D as Capital B. Upper case D resembles lower case "b" in this script. For "swiftness" read "velocity" or "pressure." Inserted some omissions, changed some "B's" to "D's.".